Independence of strong partition relation for small cardinals, and the free-subset problem

Journal of Symbolic Logic 45 (3):505-509 (1980)
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Abstract

We prove the independence of a strong partition relation on ℵ ω , answering a question of Erdos and Hajnal. We then give an almost complete answer to the free subset problem

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10.2307/2273418

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Citations of this work

Some applications of short core models.Peter Koepke - 1988 - Annals of Pure and Applied Logic 37 (2):179-204.
On the free subset property at singular cardinals.Peter Koepke - 1989 - Archive for Mathematical Logic 28 (1):43-55.
More canonical forms and dense free subsets.Heike Mildenberger - 2004 - Annals of Pure and Applied Logic 125 (1-3):75-99.
Large cardinals and basic sequences.Jordi Lopez-Abad - 2013 - Annals of Pure and Applied Logic 164 (12):1390-1417.
Narrow coverings of ω-ary product spaces.Randall Dougherty - 1997 - Annals of Pure and Applied Logic 88 (1):47-91.

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References found in this work

Some weak versions of large cardinal axioms.Keith J. Devlin - 1973 - Annals of Mathematical Logic 5 (4):291.
More on the free subset problem.K. J. Devlin - 1973 - Annals of Mathematical Logic 5 (4):327.

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